If n is a positive integer, then prove that 2n(2n-1) 2n(2n-1)(2n-2) 2! 3! 1-2n+- + ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 9E
icon
Related questions
Question
If n is a positive integer, then prove that
2n(2n-1) 2n(2n-1)(2n-2)
1-2n+
2!
3!
+(-1)"-1
+.
2n (2n-1)...(n+2)
(n-1)!
...
= (-1)"+¹_(2n)!
2(n!)²
Transcribed Image Text:If n is a positive integer, then prove that 2n(2n-1) 2n(2n-1)(2n-2) 1-2n+ 2! 3! +(-1)"-1 +. 2n (2n-1)...(n+2) (n-1)! ... = (-1)"+¹_(2n)! 2(n!)²
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell